However, is the saddle as high as you need it to be? It looks like it's slammed all the way down. That means either the frame is technically too big for you (not a major issue for shorter rides) or that the seat is way too low.

The seat should be high enough that you can't touch the ground with your foot when in the saddle, and high enough that, if it were any higher, your knee would lock at the apex of every downstroke.

The saddle is too low at the moment. I went to adjust it and it seems to be frozen solid. I referred to good ol sheldon brown and haven't tried all the tricks yet. I'm pulling the hell out of it with the seat post clamp bolt all the way off and still can't get it to budge. I also tried using a plastic sledge.

The flat head is a good route to take if it's big enough to rest against the slot on the frame, just try not to damage the metal. A couple light taps on the screwdriver with a hammer might get it loose.

Try going to your local autoshop and asking for lithium grease. You'll get a lot more, a lot cheaper than in a bike shop. That's what my local co-op suggests anyway and I haven't found it to be a problem.

Go to auto parts store and get some mobil 1 synthetic bearing grease. It's red. A one pound tub will last you forever and it's $10. Use gloves and transfer some into a "in use" container so if/when you contaminate the grease you don't ruin the whole tub.

You only need a very light film, if you see vivid red you've got too much.

liquid wrench! get that frame in a vise(protecting the frame obviously with leather or heavy canvas or rubber sheeting,) then get some vise grips on that seat post, preferably in a position that you can get your body weight behind the wrench (pushing down.) if someone else can be tapping the seat post as you try and turn it also, that'd be good as well.

worse case scenario, you might have to heat up the seat post w/ a torch and see if you can get it to wiggle that way, but that could screw up your paint.

my money is on a liquid wrench bath and some good old fashioned leverage. good luck.